Expressions & Equations
The phrase 'five more than a number' translates to this algebraic expression.
What is n + 5 (or 5 + n)?
A class has 12 boys and 15 girls. This is the ratio of boys to girls written in colon notation.
What is 12:15 (or 4:5)?
Order these integers from least to greatest: -3, 7, -10, 0, 5
What is -10, -3, 0, 5, 7?
This ordered pair names a point located 3 units to the right and 4 units up from the origin.
What is (3, 4)?
Find the mean of this data set: 12, 15, 18, 20, 25
What is 18?
Evaluate 3x + 2 when x = 5.
What is 17?
A car travels 240 miles in 4 hours. This is the car's unit rate in miles per hour.
What is 60 miles per hour?
The absolute value of -17 is this number.
What is 17?
A triangle has a base of 8 cm and a height of 5 cm. This is its area.
What is 20 square centimeters?
The greatest common factor of 24 and 36 is this number.
What is 12?
Using the distributive property, this expression is equivalent to 4(3x + 2).
What is 12x + 8?
A recipe uses 2 cups of flour for every 3 cups of sugar. This many cups of flour are needed when using 9 cups of sugar.
What is 6 cups of flour?
Calculate: -8 + 12
What is 4?
A rectangular prism has a length of 6 cm, width of 4 cm, and height of 3 cm. This is its volume.
What is 72 cubic centimeters?
Convert 3/4 to both a decimal and a percentage.
What is 0.75 and 75%?
Solve for x: 6x = 54
What is x = 9?
A shirt originally costs $40. It is on sale for 25% off. This is the sale price of the shirt.
What is $30?
Calculate: (-6) x (-9)
What is 54?
A rectangular prism has a length of 5 cm, width of 3 cm, and height of 4 cm. This is its surface area.
What is 94 square centimeters?
Evaluate: 2^3 + 5^2 - 4^1
What is 29? (8 + 25 - 4 = 29)
Maria has $75. She earns $12 per hour babysitting. Write and solve an equation to find how many hours she must work to have a total of $123.
What is 4 hours? (75 + 12h = 123; 12h = 48; h = 4)
A store sells 3 notebooks for $5.25. At this rate, this is the cost of 8 notebooks.
What is $14.00? (unit rate = $1.75 each; 8 x $1.75 = $14.00)
A scuba diver is at -30 feet and a submarine is at -75 feet. This tells us which is farther from sea level and by how many feet.
What is the submarine, which is 45 feet farther from sea level? (|-75| = 75 > |-30| = 30; 75 - 30 = 45)
A composite figure is made of a rectangle (10 cm x 6 cm) with a triangle on top (base 10 cm, height 4 cm). This is the total area of the figure.
What is 80 square centimeters? (Rectangle: 10x6=60; Triangle: 1/2 x 10 x 4=20; Total: 60+20=80)
Write the prime factorization of 360 using exponents.
What is 2^3 x 3^2 x 5?